Unique continuation principles for the Benjamin-Ono equation

Other literature type English OPEN
Iorio, Rafael José;
(2003)

Let $\sigma$ denote the Hilbert transform and $\mu\geq0$. We prove that if $u\in C\left( \left[ 0,T\right] ,H^{2}\left( \mathbb{R}\right) \cap L_{2}^{2}\left( \mathbb{R}\right) \right) $ is a solution of \[ \partial_{t}u+2\sigma\partial_{x}^{2}u+u\partial_{x}u=... View more
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